求解对流扩散方程的四种差分格式的比较

Comparison with solution of convection-diffusion by several difference schemes

利用对流扩散方程 ,在边界和参数存在随机扰动的情况下 ,考察四种差分格式的优劣 ,为求解对流扩散方程提供一种可靠的差分格式 ,并得到通过空间加密网格的方法可以控制边界。

By solving convection-diffusion equation, we have studied the influence of different difference schemes on the rumerical solutions under the condition of stochastic disturbance of the border or parameter, which provides a reliable difference scheme for solving the convection-diffusion equation, and we have drawn a conclusion that the influence for the stochastic disturbance on the border or parameter could be controlled by increasing the number of the grid point in numerical calculation.